{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:OYHHQ2FMD2MBWX5FOFXCTDCY6F","short_pith_number":"pith:OYHHQ2FM","canonical_record":{"source":{"id":"1308.4795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-22T08:48:04Z","cross_cats_sorted":[],"title_canon_sha256":"24facbf47b6a6f0d4b81f460e43459c3d4fd98ca7791de32951bc588658f4aa3","abstract_canon_sha256":"465638be3f52da36e7a33073bfc381363d6650a2e206a1fbcabdf7340d908efe"},"schema_version":"1.0"},"canonical_sha256":"760e7868ac1e981b5fa5716e298c58f16e73d778bef903ca0872b908151f9167","source":{"kind":"arxiv","id":"1308.4795","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4795","created_at":"2026-05-18T03:15:19Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4795v1","created_at":"2026-05-18T03:15:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4795","created_at":"2026-05-18T03:15:19Z"},{"alias_kind":"pith_short_12","alias_value":"OYHHQ2FMD2MB","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OYHHQ2FMD2MBWX5F","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OYHHQ2FM","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:OYHHQ2FMD2MBWX5FOFXCTDCY6F","target":"record","payload":{"canonical_record":{"source":{"id":"1308.4795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-22T08:48:04Z","cross_cats_sorted":[],"title_canon_sha256":"24facbf47b6a6f0d4b81f460e43459c3d4fd98ca7791de32951bc588658f4aa3","abstract_canon_sha256":"465638be3f52da36e7a33073bfc381363d6650a2e206a1fbcabdf7340d908efe"},"schema_version":"1.0"},"canonical_sha256":"760e7868ac1e981b5fa5716e298c58f16e73d778bef903ca0872b908151f9167","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:19.746396Z","signature_b64":"bmKpRhk/43OLITXv9EvvSl/2xtG897XqSWVtzIymKZYWEVrdERsHRqB5KZE9YpvUma2tT6UIXp1mz3wvJIuTCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"760e7868ac1e981b5fa5716e298c58f16e73d778bef903ca0872b908151f9167","last_reissued_at":"2026-05-18T03:15:19.745618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:19.745618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.4795","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:15:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o0yTedz115+qIqG2M733eQfTKWoskqXJ0Ec3dTqk+D/OpIVl7YMvv+wrK8fIAEQVFt7SK2ZE3ie30VxlxJpADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T12:12:32.541092Z"},"content_sha256":"bf3fd2e7dd7f173f95dc81bfdb1319425d25768b50f20daa1db24025bb73b834","schema_version":"1.0","event_id":"sha256:bf3fd2e7dd7f173f95dc81bfdb1319425d25768b50f20daa1db24025bb73b834"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:OYHHQ2FMD2MBWX5FOFXCTDCY6F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cooperative effects and photon localization in atomic gases: The two-dimensional case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A. Gero, E. Akkermans","submitted_at":"2013-08-22T08:48:04Z","abstract_excerpt":"We study photon escape rates from two-dimensional atomic gases while taking into account cooperative effects between the scatterers. Based on the spectrum of the random Euclidean matrix Uij = Jo(xij), where xij is the dimensionless random distance between any two atoms, a scaling behavior for the escape rates is obtained. This behavior is similar to the one obtained in the three-dimensional case, but qualitatively different from the result obtained in one dimension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4795","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:15:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9CrDAGkVlEHIev25y4fKD7SAZYzbrf/9PruzfoGH9COQyuZUfHjpGMSQ4YR9BPbEeatd9FkGXE9vHXt9SuytAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T12:12:32.541775Z"},"content_sha256":"276ab7e2a6d534f0f1fab04f5c2820525a6a9a42f2072661f1a2f3e1de15b84e","schema_version":"1.0","event_id":"sha256:276ab7e2a6d534f0f1fab04f5c2820525a6a9a42f2072661f1a2f3e1de15b84e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OYHHQ2FMD2MBWX5FOFXCTDCY6F/bundle.json","state_url":"https://pith.science/pith/OYHHQ2FMD2MBWX5FOFXCTDCY6F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OYHHQ2FMD2MBWX5FOFXCTDCY6F/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-24T12:12:32Z","links":{"resolver":"https://pith.science/pith/OYHHQ2FMD2MBWX5FOFXCTDCY6F","bundle":"https://pith.science/pith/OYHHQ2FMD2MBWX5FOFXCTDCY6F/bundle.json","state":"https://pith.science/pith/OYHHQ2FMD2MBWX5FOFXCTDCY6F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OYHHQ2FMD2MBWX5FOFXCTDCY6F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OYHHQ2FMD2MBWX5FOFXCTDCY6F","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"465638be3f52da36e7a33073bfc381363d6650a2e206a1fbcabdf7340d908efe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-22T08:48:04Z","title_canon_sha256":"24facbf47b6a6f0d4b81f460e43459c3d4fd98ca7791de32951bc588658f4aa3"},"schema_version":"1.0","source":{"id":"1308.4795","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4795","created_at":"2026-05-18T03:15:19Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4795v1","created_at":"2026-05-18T03:15:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4795","created_at":"2026-05-18T03:15:19Z"},{"alias_kind":"pith_short_12","alias_value":"OYHHQ2FMD2MB","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OYHHQ2FMD2MBWX5F","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OYHHQ2FM","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:276ab7e2a6d534f0f1fab04f5c2820525a6a9a42f2072661f1a2f3e1de15b84e","target":"graph","created_at":"2026-05-18T03:15:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study photon escape rates from two-dimensional atomic gases while taking into account cooperative effects between the scatterers. Based on the spectrum of the random Euclidean matrix Uij = Jo(xij), where xij is the dimensionless random distance between any two atoms, a scaling behavior for the escape rates is obtained. This behavior is similar to the one obtained in the three-dimensional case, but qualitatively different from the result obtained in one dimension.","authors_text":"A. Gero, E. Akkermans","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-22T08:48:04Z","title":"Cooperative effects and photon localization in atomic gases: The two-dimensional case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4795","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bf3fd2e7dd7f173f95dc81bfdb1319425d25768b50f20daa1db24025bb73b834","target":"record","created_at":"2026-05-18T03:15:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"465638be3f52da36e7a33073bfc381363d6650a2e206a1fbcabdf7340d908efe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-22T08:48:04Z","title_canon_sha256":"24facbf47b6a6f0d4b81f460e43459c3d4fd98ca7791de32951bc588658f4aa3"},"schema_version":"1.0","source":{"id":"1308.4795","kind":"arxiv","version":1}},"canonical_sha256":"760e7868ac1e981b5fa5716e298c58f16e73d778bef903ca0872b908151f9167","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"760e7868ac1e981b5fa5716e298c58f16e73d778bef903ca0872b908151f9167","first_computed_at":"2026-05-18T03:15:19.745618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:19.745618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bmKpRhk/43OLITXv9EvvSl/2xtG897XqSWVtzIymKZYWEVrdERsHRqB5KZE9YpvUma2tT6UIXp1mz3wvJIuTCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:19.746396Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.4795","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf3fd2e7dd7f173f95dc81bfdb1319425d25768b50f20daa1db24025bb73b834","sha256:276ab7e2a6d534f0f1fab04f5c2820525a6a9a42f2072661f1a2f3e1de15b84e"],"state_sha256":"05ced6ce71faacf38abe714673d9ec1289dbe05dc556486756213ac895effc93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EtDLVjboaRmFMR2DhHhdh5yc+HZswDvgal1qn3pM5pcKVrttIlURp9kgcL7jXRpocYq9bCh8HYZOhVedDqOEBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T12:12:32.545291Z","bundle_sha256":"df804557a8204feb1d676ad89edfc9a1af9f21c7886ec8a0f7539101c13261de"}}